Hazard only left Stamford Bridge last year to sign for the LaLiga side in a £130 million deal.
But since moving to Spain, the Belgium international has struggled for form and fitness due to several injuries.
This has restricted him to just 10 starts in LaLiga and only three more in the Champions League this season.
Hazard is now looking to leave Madrid this summer and his preference is to return to Chelsea, who are now being managed by Thomas Tuchel.
The 30-year-old spent seven seasons with the Blues and helped the club win two Premier League titles, the FA Cup and the Europa League on two occasions.
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